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Finding the Fourth Proportional to 417,442, 576,069.96 and 238,597.84

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Solution

The fourth proportional to 417,442, 576,069.96 and 238,597.84 is: 329,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,442 : 576,069.96 = 238,597.84 : x
  2. Step 2: Convert to fraction form
    417,442/576,069.96 = 238,597.84/x
  3. Step 3: Cross multiply
    417,442x = 576,069.96 × 238,597.84
  4. Step 4: Simplify right side
    417,442x = 137,449,048,144.89
  5. Step 5: Solve for x
    x = 137,449,048,144.89/417,442
  6. Step 6: Final answer
    x = 329,265.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.